Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, 13-17, 2000
This invaluable book contains 19 papers selected from those submitted to a conference held in Hong Kong in July 2000 to celebrate the 70th birthday of Professor Steve Smale. It may be regarded as a continuation of the proceedings of SMALEFEST 1990 (OCOFrom Topology to ComputationOCO) held in Berkeley, USA, 10 years before, but with the focus on the area in which Smale worked more intensively during the ''90''s, namely the foundations of computational mathematics."
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Data Compression and Adaptive Histograms
Bifurcations of Limit Cycles in ZEquivariant Planar Vector Fields
of Degree 5
Reconciliation of Various Complexity and Condition Measures for
On the Expected Number of Real Roots of a System of Random
Almost Periodicity and Distributional Chaos
Polynomial Systems and the Momentum Map
Asymptotic Acceleration of the Solution of Multivariate Polynomial
IBCProblems Related to Steve Smale
On Sampling Integer Points in Polyhedra
Complexity Issues in Dynamic Geometry
From Dynamics to Computation and Back?
CrossConstrained Variational Problem and Nonlinear Schrödinger
Polynomials of Bounded TreeWidth
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algebraic algorithm angular bisectors apply approximate arithmetic operations assume Bezout's theorem bifurcation bound coefficients computation condition number consider constant construction Corollary corresponding decision problem decomposition defined definition denote equations error estimate evaluation exists expected number factors feasible finite formula free points G-nomial Gegenbauer polynomials geometry given Hamiltonian Hamiltonian system hypergraphs idempotents implies inequality input integer iteration Lemma lifting function limit cycles linear LP problems Lyapunov exponents Math Mathematics matrix measure monomials morphism MSOR multivariate NP-hard number of real obtain optimal solution oriented matroids orthogonally invariant Padé approximation parameter polynomial systems polytope positive proof of Theorem Proposition prove PSPACE-hard random polynomials real numbers real zeros resp satisfies scrambled set semistable sequence Shub Smale solve space Steve Smale structure subset tensor product theory tree-width unit circle values variables vector Woźniakowski